The equivalent expression of 1/2 * 1/2 *1/2 is 2^-3
How to rewrite the expression?The expression is given as:
1/2 * 1/2 *1/2
Apply the product law of indices
1/2 * 1/2 *1/2 = (1/2)^3
Apply the power law of indices
1/2 * 1/2 *1/2 = (2^-1)^3
This gives
1/2 * 1/2 *1/2 = 2^-3
Hence, the equivalent expression of 1/2 * 1/2 *1/2 is 2^-3
Read more about exponential expression at:
https://brainly.com/question/11464095
#SPJ1
If a restaurant purchases organic food there is a 66% chance it will go bankrupt. If a restaurant does not purchase organic food there is a 64% chance it will go bankrupt. Only 12% of businesses purchase organic food. When a restaurant goes bankrupt what is the probability it purchased organic food
Answer:
0.1233 = 12.33% probability it purchased organic food
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Goes bankrupt
Event B: Purchase organic food.
Probability it goes bankrupt:
66% of 12%(purchases organic food)
64% of 88%(dont purchase organic food).
So
[tex]P(A) = 0.66*0.12 + 0.64*0.88 = 0.6424[/tex]
Intersection of A and B:
Bankrupt when purchases organic food. So
66% of 12%
[tex]P(A \cap B) = 0.66*0.12 = 0.0792[/tex]
When a restaurant goes bankrupt what is the probability it purchased organic food
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0792}{0.6424} = 0.1233[/tex]
0.1233 = 12.33% probability it purchased organic food
-) 2.01 + 8 + 0.593
0,593
200
Answer:
10.60305932
Step-by-step explanation:
The average age of students in a class is 8 years and 5 months. Express the age in seconds.
Answer:
its like 4 yrs
Step-by-step explanation:
Answer:
265,248,000 seconds
Step-by-step explanation:
Assumptions are going to be made. No leap years so every year is 365 days, and each month is 30 days. 8x365+5x30=3070 days
24x60x60=86400 seconds in one day
Multiply those two together to get the answer.
Can someone help with this?
Answer:
A, 16x^9
Step-by-step explanation:
You apply the function f to x, then apply the function f to that.
f(x)=2x^3
f(f(x))=f(2x^3)=2(2x^3)^3 = 2*2^3*(x^3)^3 = 2*8*x^(3*3)=16x^9
Hurry I need the answer and how u got it and if correct ill give you brainiest show ur work please
1..The number of early voters for the 2020 election was 129.2% of what it was in 2016. How many early voters were there in 2020 if there were 58,300,000 early voters in 2016? Round to a whole number of voters.
2.. At a conference, there is a food table setup with 491 sandwiches. Of all the sandwiches, only 51 are turkey. What percent of sandwiches are turkey? Round to a tenth of a percent. 4
3..Washington State University graduated a total of 17,190 students. Of all the students, only 1.7% were majors in chemistry. How many students majored in chemistry? Round to a whole number, if needed.
4.Consider two forests that are proportional with respect to the number of trees per square mile. If one forest has 1,006 trees per 0.9 square miles, how many trees should we expect in a forest that is 4 square miles? Round to a whole number, if needed.
5..There are 870 people attending a conference and 8.9% of them are from Canada. How many people are from Canada?
Group of answer choices
98
774
8
77
6
6.A local business sold the 103 items listed below. What is the average price of an item sold considering quantity?
24 notepads at $3.50 each
61 folders at $0.25 each
18 calculators at $9.00 each
Group of answer choices
$2.54
$0.89
$4.33
Answer:
1.774
2.6
3.77
4.8
5.6
6.4.33
12.Se consideră mulţimile A={3x-1, 2x+1, 4x+2} şi B={x+1, x+2, 2x+4} unde x ∈ N. Valoarea lui x pentru
care mulţimile A şi B este:
Answer:
which language is this????
2x-5y + 11=0 3x-4y=18
Answer:
x = 134/7
y = 69/7
Step-by-step explanation:
let the x or y have a same coefficient to have a better way to solve it
True or false
what is always true about an isosceles triangle
1.one of the angles is 90 degrees
2.at least two angles are congruent
3.all of its sides are congruent
4.at least two sides are congruent
5.all of its angles are congruent
please tell fast plzzzzzz
Answer:
x=90-44=46is your answer
Answer:
46 degrees (complimentary angles add up to 90 degrees)
Step-by-step explanation:
90 - 44 = 46
Pls tell me the rest of the angles. Angle 1 is 112.9 degrees.
Answer:
the rest of the anglesss
Answer:
All together must be 180 but i dont know how to solve that
Solve for P:
-11 = p - 9
Answer:
-2Step-by-step explanation:
Add 9 on both sides.
You'll get -2=p
So -2 = p.
-2 is your answer.
Answer:
-2
Step-by-step explanation:
-11 = p - 9
p = -11 + 9
p = -2
Check:
-11 = -2 - 9
Hope that helps!
what is 10cm × 20cm in inches
Answer:
10cm x 20cm = 78.7402 inches
Step-by-step explanation:
10 x 20 is 200
200 cm is 78.7402 inches
Answer:
Step-by-step explanation:
help now pls bby pls
Answer:
Cities around the country are changing. Faded boards, dull concrete, and old bricks are coming to life. Communities are are turning walls of their buildings, roads, and bridges into colorful murals. Painters might show local scenes, honor a hero or celebrate a culture. Murals can also be great projects for schools. They encourage teamwork, school spirit, and creativity. What would you paint? Your mural could inspire people to recycle, be a volunteer or cheer for a team.
Step-by-step explanation:
there are commas where they are supposed to be
Answer:
yes
Step-by-step explanation:
Destiny just received two separate gifts from her great-great-grandmother.
The first gift is a box of 181818 chocolate candy bars, and the second gift is a pack of 121212 cookies.
Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins.
What is the greatest number of snack bags that Destiny can make?
answer: 6 is the greatest number of snack bags that Destiny can make. Step-by-step
Step-by-step explanation:
The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies.
Answer:
There are 6 snack bags that Destiny can make.
Step-by-step explanation:
Since we have given that
Number of chocolate candy bars in the first gift =18
Number of cookies in the second gift = 12
Since Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins,
So, Destiny can make the greatest number of snack bags is given by
So, there are 6 snack bags that Destiny can make.
write an equation to represent the following statement. k divided by 11=7. solve for k. k=?
Answer:
77
Step-by-step explanation:
77/11=7
Answer:
k=77 because 77/11 is 7
Step-by-step explanation:
1/4 and 1/2 common denominators
Answer:
4
Step-by-step explanation:
Answer:
The common denominator of 1/4 and 1/2 is 4.
1/2 = 2/4
Pls help I’ll brainlest ASAP
bro helppppppppppppp
Answer:
1. 2 and 2 is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
An urn contains 4 white balls and 6 red balls. A second urn contains 7 white balls and 3 red balls. An urn is selected, and the probability of selecting the first urn is 0.8. A ball is drawn from the selected urn and replaced. Then another ball is drawn and replaced from the same urn. If both balls are white, what are the following probabilities?
a. the probability that the urn selected was the first one
b. the probability that the urn selected was the second one
Answer:
a) 0.5664 = 56.64% probability that the urn selected was the first one.
b) 0.4336 = 43.36% probability that the urn selected was the second one
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
If both balls are white, what are the following probabilities?
This means that event A is both balls being white.
Probability of both balls being white:
0.8 probability of 4/10 = 0.4 squared(first urn, which each time the ball is drawn will have 4 white balls and 6 red)
1 - 0.8 = 0.2 probability of 7/10 = 0.07 squared(second urn). So
[tex]P(A) = 0.8*(0.4)^2 + 0.2*(0.7)^2 = 0.226[/tex]
a. the probability that the urn selected was the first one
Event B: First urn selected.
The intersection of events A and B is given by both balls being white and selected from the first urn, which has the following probability:
[tex]P(A \cap B) = 0.8*(0.4)^2 = 0.128[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.128}{0.226} = 0.5664[/tex]
0.5664 = 56.64% probability that the urn selected was the first one
b. the probability that the urn selected was the second one
The intersection of events A and B is given by both balls being white and selected from the second urn, which has the following probability:
[tex]P(A \cap B) = 0.2*(0.7)^2 = 0.098[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.098}{0.226} = 0.4336[/tex]
0.4336 = 43.36% probability that the urn selected was the second one
exact volume of this cylinder
I am taking this quiz but I'm pretty sure its....c
Answer:
Volume=πr2h=π·42·8≈402.12386
Step-by-step explanation:
What is 2 7/9 + 8/9 ?
Answer:
11/6
Step-by-step explanation:
2 7/9 + 8/9
2 7/9 into a mixed fraction which is 25/9
now 25/9 + 8/9 = 33/18 then simplify which is 11/6
Show your work on paper. (Include properties) 80 points!!!
A right triangle has legs e and fand hypotenuse h. The value of e = 10. The angle opposite legfis
35º. Which expression can be used to find the length of the hypotenuse?
Answer:
[tex]hyp=\frac{10}{cos(35^o)}[/tex]
Step-by-step explanation:
The trigonometric function that uses the value of the angle, the value of the adjacent side (e) and the hypotenuse is the cosine of the angle as shown below:
[tex]cos(35^o)=\frac{adj}{hyp} =\frac{10}{hyp} \\hyp=\frac{10}{cos(35^o)}[/tex]
Solve this please! 25 points! (Include properties used)
Answer: their is no solution to this problem
Step-by-step explanation:
Solve the following triangle angles
Answer:
X=69 degree
?= 50 degree
Step-by-step explanation:
exterior angle prop so 77+X =146
X=146-77
X=69
in sencond triangle
90+40+?=180
?=180-130
?=50
1 Q1 - Mean
Work out the mean of each set of numbers.
11, 15, 13, 19, 17
[2]
2
56, 78, 63, 61, 74, 72, 81, 74, 75, 67
[2]
4.6, 5.9, 6.1, 2, 3.9, 2.4, 2.6, 1.9, 2.9, 1.3
[2]
o
alc
Jeremy caught 8 fish in a contest.
The mean weight of the fish was 4.35 kg.
He forgot to make his own record of the weight of the last fish,
but the first 7 were: 4.5 kg, 5 kg, 6.8 kg, 2.8 kg, 3.8 kg, 4.4 kg and 4.4 kg.
tal
0
5
What was the weight of the last fish?
kg
[2]
Markeit
Answer:
3.1 Kg
Step-by-step explanation:
Mean = Sum/Number of data
4.35=Sum/8
Sum= (4.5+5+6.8+2.8+3.8+5.5+4.4+4.4+last fish) = 31.7+last fish
4.35= (31.7+lastfish)/8
Last fish= (4.35×8) - 31.7 = 3.1 Kg
Evaluate the limit(-2n^n/4+n
Answer:
.
Step-by-step explanation:
Item 4
In "My Father Is a Simple Man," how does the author develop the speaker's viewpoint toward his father?
by comparing the speaker's father with the other fathers in town
by emphasizing the fact that the speaker's father is complex and difficult to approach
by highlighting the speaker's father's work ethic, kindness, and inner strength
by recognizing that the speaker's father is beloved by the entire community
Answer:
he is an ordinary man because that is what the speaker is talking about
Answer:
The story develops the character of the speaker's father to keep things simple by not do anything extraordinary, not to compare himself to other fathers, is a devoted father on his devoted job, and is not judged by the community how or what he does in his job or the speaker.
Jeff is designing the seating arrangement for a concert in his high school theater. To give everyone a good view, each row must have 5 more seats than the row before it, and the 1st row can only have 12 seats. Explain to Jeff how to create an equation to predict the number of seats in any row. Then, using your equation, show your work to determine the number of seats in row 25.
Answer:
There will be 132 seats in row 25
Step-by-step explanation:
1st term = 12
common difference = 5
f(x) = 12 + 5(x - 1)
f(25) = 12 + 5(25-1)
f(25) = 12 + 5(24)
f(25)= 12+120
f(25)=132
There will be 132 seats in row 25
The number of seats is 137 with the general equation [tex](12+5n)[/tex] seats
General equation:In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Let the row number is [tex]n[/tex]
The number of seats in the first row is 12
As per the plan, each row shall have 5 more seats.
So, in the first row seats=12
In the second row seats=[tex]12+5[/tex]
In the third row seats=[tex]12+2\times5[/tex]
[tex]n^{th}[/tex] row seats=[tex]12+5n[/tex]
So, the number of seats in any row is [tex]12+5n[/tex]
Where [tex]n[/tex] is the row number
Now, for 25 rows, [tex]n=25[/tex] then,
The number of seats is,
[tex]12+5\times25=137[/tex]
Learn more about the topic general equation:
https://brainly.com/question/11242211
5.A store had five different lengths of extension cords for sale. Four of the
lengths were 9 feet, 10 feet, 12 feet, and 8 feet. The range of the lengths
of all the extension cords was 6 feet. Which could be the length of the fifth
size of extension cords?
Answer:
Your answer is 6 feet because if the rang is 6 than the fith number would be 6.
Rang is the maximum number in this cause is 12, minis the minimum.